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Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
Authors:C.E. Chidume
Affiliation:The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy
Abstract:Let E be a real uniformly convex Banach space, K be a closed convex nonempty subset of E which is also a nonexpansive retract with retraction P. Let View the MathML source be asymptotically nonexpansive mappings of K into E with sequences (respectively) View the MathML source satisfying kin→1 as n→∞, i=1,2,…,m, and View the MathML source. Let View the MathML source be a sequence in [?,1−?],?∈(0,1), for each i∈{1,2,…,m} (respectively). Let {xn} be a sequence generated for m?2 by
View the MathML source
Keywords:Asymptotically nonexpansive mappings   Kadec-Klee property   Uniformly convex real Banach spaces
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